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In this paper we introduce and investigate the notion of  I g **α  -continuous functions, almost  I g **α  -continuous functions and discussed the relationship withother continuous functions and obtained their characteristics. Finally we obtain the decomposition of *  α  -continuity.

international journal of pure mathematical sciences

Certain Types of Continuity via &lt;i&gt;I&lt;sub&gt;g&lt;sup&gt;**&lt;/sup&gt;&lt;/sub&gt;&lt;/i&gt;&lt;sup&gt;&lt;i&gt;α&lt;/i&gt;&lt;/sup&gt;-Closed Sets